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Asymptotic estimates for a semigroup related to compressible viscous fluid flow
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September 25, 2009
The paper is related to the question of stability for the motionless spherically symmetric equilibrium states of viscous, barotropic, self-gravitating fluids. It considers a perturbation of the linearization of the governing equations of this problem, taking a step in the derivation of estimates which will allow us to prove non-linear stability of the equilibria. The perturbed operator, like the linearization considered earlier, generates an analytic semigroup, which allows us to derive asymptotic estimates as t → ∞.
Received: 2006-4-24
Accepted: 2006-9-25
Published Online: 2009-9-25
Published in Print: 2007-8-1
© Oldenbourg Wissenschaftsverlag
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Keywords for this article
compressible viscous flows;
linear stability;
astrophysical flows;
analytic semigroups
Articles in the same Issue
- Enclosure, separation, and computation of the zeros of exponential trinomials with constant coefficients and real exponential points
- Asymptotic estimates for a semigroup related to compressible viscous fluid flow
- Oscillation of first order neutral differential equations of Euler form
- WENO-TVD schemes for hyperbolic conservation laws
- Special functions and the Mellin transforms of Laguerre and Hermite functions
- On a class of extremal solutions of the nondegenerate matricial Carathéodory problem
- Removable singularities of fully nonlinear elliptic equations
